# Bibliography

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<a id="bib-Pilot"></a>

[Pilot] Jeremy Rodgers. *A Deterministic Pilot Medium: Bell Path Selection and Autonomous Material Records*. Version 2, 15 September 2026. Zenodo preprint. [doi:10.5281/zenodo.22774634](https://doi.org/10.5281/zenodo.22774634).

<a id="bib-MassiveCompletion"></a>

[Massive] Jeremy Rodgers. *A Massive Configuration Completion of the Quantum Measurement Programme*. Version 2, 15 September 2026. Zenodo preprint. [doi:10.5281/zenodo.22774739](https://doi.org/10.5281/zenodo.22774739).

<a id="bib-M01"></a>

[M01] Shadow Theory research programme. *Canonical Source Exchange and Bell Incidence A common charge interaction, a binary reaction mechanism, and a global path-law limit*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Canonical_Exchange.tex`.

<a id="bib-M02"></a>

[M02] Shadow Theory research programme. *Selecting Source Incidence A cancellation mechanism, a global path-law limit, and the remaining physical freedom*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Incidence_Selection.tex`.

<a id="bib-M03"></a>

[M03] Shadow Theory research programme. *Carrier Neutrality*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Carrier_Neutrality.tex`.

<a id="bib-M04"></a>

[M04] Shadow Theory research programme. *Aperture Ownership*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Aperture_Ownership.tex`.

<a id="bib-M05"></a>

[M05] Shadow Theory research programme. *Interface and Event Closure*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Interface_and_Event_Closure.tex`.

<a id="bib-M06"></a>

[M06] Shadow Theory research programme. *Source Charge Balance and Actual Calibration A dynamical unification, finite-exposure limits, and the remaining causal constitution*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Calibration_Dynamics_and_Constitutive_Core.tex`.

<a id="bib-M07"></a>

[M07] Shadow Theory research programme. *Attachment and Continuation*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Attachment_and_Continuation.tex`.

<a id="bib-M08"></a>

[M08] Shadow Theory research programme. *Record Transduction and Innovation Taps A constructive output law, its unavoidable backaction, and the remaining source constitution*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Record_Transduction_and_Innovation_Taps.tex`.

<a id="bib-M09"></a>

[M09] Shadow Theory research programme. *First Writing and Finite Causal Closure Source-contact regularity, latent records, and auxiliary-load stability*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_First_Writing_and_Finite_Causal_Closure.tex`.

<a id="bib-M10"></a>

[M10] Shadow Theory research programme. *Admission and Controlled Measurement Closure*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Admission_and_Controlled_Measurement_Closure.tex`.

<a id="bib-M11"></a>

[M11] Shadow Theory research programme. *Shadow source production and measurement compatibility*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Production_and_Measurement_Compatibility.tex`.

<a id="bib-M12"></a>

[M12] Shadow Theory research programme. *An integrated Shadow source measurement theory*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Integrated_Measurement_Theory.tex`.

<a id="bib-M13"></a>

[M13] Shadow Theory research programme. *Selection of measurement currents from preparation consistency A conditional source/readout construction and an output-access bound*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Record_Law_Selection.tex`.

<a id="bib-M14"></a>

[M14] Shadow Theory research programme. *Finite absorbing tags and causal selection of preparation consistency A source interaction, a finite record theorem, and its admission boundary*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_CPC_Physical_Selection.tex`.

<a id="bib-M15"></a>

[M15] Shadow Theory research programme. *Intrinsic outlet actualization: capture, access and causal rate selection A constructive replacement for the absorbing-threshold constitution*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Detector_Constitution.tex`.

<a id="bib-M16"></a>

[M16] Shadow Theory research programme. *Dark channels and joint event–continuation selection Source apertures, stochastic daughters and retained memories*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Joint_Event_Continuation.tex`.

<a id="bib-M17"></a>

[M17] Shadow Theory research programme. *Protecting the Shadow source aperture Finite-gap transport, retained memories and preselection stability*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Aperture_Protection.tex`.

<a id="bib-M18"></a>

[M18] Shadow Theory research programme. *A common interaction for Shadow detector records Finite arrival, conditional transport and physical archives*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Common_Source_Interaction.tex`.

<a id="bib-M19"></a>

[M19] Shadow Theory research programme. *Conditional preparation of Shadow detector statistics Deterministic extraction, exact clock heralding and returning-memory limits*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Apparatus_Equilibrium_Preparation.tex`.

<a id="bib-M20"></a>

[M20] Shadow Theory research programme. *Source-law selection across Shadow measurement architectures*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Source_Law_Reconciliation.tex`.

<a id="bib-M21"></a>

[M21] Shadow Theory research programme. *Dynamic carrier neutrality for canonical source events Complete-history bounds and a reciprocal readout obstruction Shadow Theory: Event-Law Bridge, Round 001*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_001.tex`.

<a id="bib-M22"></a>

[M22] Shadow Theory research programme. *One-packet records and a coherent-ledger repair Access–reaction compatibility for the original Hamiltonian current*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_002.tex`.

<a id="bib-M23"></a>

[M23] Shadow Theory research programme. *Reaction ownership and physical record access A native-reporter obstruction and a coherent contact derived from source chemistry*. Internal research manuscript, supplied corpus edition. Two distinct Round 003 sources are retained; this is the original reaction-reporter manuscript. Source file: `Shadow_Event_Law_Bridge_Round_003.tex`.

<a id="bib-M24"></a>

[M24] Shadow Theory research programme. *A common material interface for source reactions and records Isoenergetic contact selection, a stirred-volume Bell limit, and the finite acquisition experiment*. Internal research manuscript, supplied corpus edition. This is the separate Physical Port manuscript. Source file: `Shadow_Event_Law_Bridge_Round_003_Physical_Port.tex`.

<a id="bib-M25"></a>

[M25] Shadow Theory research programme. *An accounted continuous work port and an autonomous copied-return obstruction Canonical recoil, actual finite records, and the surviving event-law boundary*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_004_Accounted_Work.tex`.

<a id="bib-M26"></a>

[M26] Shadow Theory research programme. *Event Bridge 005: Material Interaction*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_005_Material_Interaction.tex`.

<a id="bib-M27"></a>

[M27] Shadow Theory research programme. *Record contacts from source-charge conversion Finite reaction closure, physical acquisition, and the surviving admission boundary Shadow Theory — Event-Law Bridge, Round 006*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_006_Contact_Closure.tex`.

<a id="bib-M28"></a>

[M28] Shadow Theory research programme. *Common exchange response and a retained null-record obstruction Shadow Theory — Event-Law Bridge, Round 007*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_007_Response_Selection.tex`.

<a id="bib-M29"></a>

[M29] Shadow Theory research programme. *Event Bridge 008: Common Interaction*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Bridge_Round_008_Common_Interaction.tex`.

<a id="bib-M30"></a>

[M30] Shadow Theory research programme. *Strengthening the Shadow Event-Law Proposal: Predictive Completion, Statistical Current Realization, and a Variational Selection of Bell Histories*. Internal research manuscript, supplied corpus edition. Source file: `Shadow_Event_Law_Foundational_Completion.tex`.

<a id="bib-C01"></a>

[C01] Shadow Theory research programme. *Checkpoint 01: finite response and delayed acquisition*. Corrected cumulative research checkpoint, supplied corpus edition. Source file: `Shadow_QM_Born_Event_Record_Physics_Checkpoint_2026-09-14.md`.

<a id="bib-C02"></a>

[C02] Shadow Theory research programme. *Checkpoint 02: coherent records and faithful copying*. Corrected cumulative research checkpoint, supplied corpus edition. Source file: `Shadow_QM_Born_Event_Record_Physics_Checkpoint_02_2026-09-14.md`.

<a id="bib-C03"></a>

[C03] Shadow Theory research programme. *Checkpoint 03: protection, coarse currents and MPBT*. Corrected cumulative research checkpoint, supplied corpus edition. Source file: `Shadow_QM_Born_Event_Record_Physics_Checkpoint_03_2026-09-15.md`.

<a id="bib-F01"></a>

[F01] Shadow Theory research programme. *Source–Readout Non-Equivalence: Descent and Equivariant Reconstruction Obstructions*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `shadow_theory_paper_01.tex`.

<a id="bib-F02"></a>

[F02] Shadow Theory research programme. *Target-Relative Necessity of Completion: When Readout Loss Obstructs, and What a Sufficient Extension Must Retain*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `paper02_final_v4.tex`.

<a id="bib-F03"></a>

[F03] Shadow Theory research programme. *Canonical Minimal Source Completion: The Coarsest Readout Extension on which a Nominated Family of Source Relations Becomes Well Defined*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `shadow_theory_paper_03.tex`.

<a id="bib-F04"></a>

[F04] Shadow Theory research programme. *Geometric realization and source field equations*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `shadow_theory_paper_04.tex`.

<a id="bib-F05"></a>

[F05] Shadow Theory research programme. *Observable Quotients and Exact Projected Dynamics: Closure, Memory, Minimal Dynamical Completion, and Effective Field Operators*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `SHADOW_THEORY_PAPER_05.tex`.

<a id="bib-F06"></a>

[F06] Shadow Theory research programme. *Non-Source Projection and Internal Identifiability*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `paper06.tex`.

<a id="bib-F07"></a>

[F07] Shadow Theory research programme. *Bulk-to-Brane Projection, Dynamical Nonclosure, and Observable Residues in Randall–Sundrum Gravity*. Foundational Shadow Theory paper, supplied corpus edition. Source file: `Paper 7 rs2_projection.tex`.

<a id="bib-BellQFT"></a>

[DGGTZ] D. Dürr, S. Goldstein, R. Tumulka and N. Zanghì. *Bell-Type Quantum Field Theories*. Journal of Physics A 38, R1–R43 (2005). [https://arxiv.org/abs/quant-ph/0407116](https://arxiv.org/abs/quant-ph/0407116).

<a id="bib-Filtering"></a>

[BvHJ] L. Bouten, R. van Handel and M. R. James. *An Introduction to Quantum Filtering*. SIAM Journal on Control and Optimization 46, 2199–2241 (2007). [https://arxiv.org/abs/math/0601741](https://arxiv.org/abs/math/0601741).

<a id="bib-BFG"></a>

[BFG] L. Bertini, A. Faggionato and D. Gabrielli. *Flows, Currents, and Cycles for Markov Chains: Large Deviation Asymptotics*. [https://arxiv.org/abs/1408.5477](https://arxiv.org/abs/1408.5477).

<a id="bib-MarvianLidar"></a>

[ML] M. Marvian and D. A. Lidar. *Error Suppression for Hamiltonian-Based Quantum Computation Using Subsystem Codes*. [https://arxiv.org/abs/1606.03795](https://arxiv.org/abs/1606.03795).

<a id="bib-ValentiniWestman"></a>

[VW] A. Valentini and H. Westman. *Dynamical Origin of Quantum Probabilities*. [https://arxiv.org/abs/quant-ph/0403034](https://arxiv.org/abs/quant-ph/0403034).

<a id="bib-pChristandl2004"></a>

[P-Clock] M. Christandl, N. Datta, A. Ekert and A. J. Landahl, “Perfect state transfer in quantum spin networks,” *Physical Review Letters* **92**, 187902 (2004). [arXiv:quant-ph/0309131](https://arxiv.org/abs/quant-ph/0309131); [doi:10.1103/PhysRevLett.92.187902](https://doi.org/10.1103/PhysRevLett.92.187902). The specific engineered spin-chain identification is equations (13)–(15).

<a id="bib-pFeynman1986"></a>

[P-Computer] R. P. Feynman, “Quantum mechanical computers,” *Foundations of Physics* **16**, 507–531 (1986). [doi:10.1007/BF01886518](https://doi.org/10.1007/BF01886518). Earlier version in *Optics News*, February 1985; [primary-paper scan](https://www.cs.princeton.edu/courses/archive/fall05/frs119/papers/feynman85_optics_letters.pdf).

<a id="bib-pIndependentAudit"></a>

[P-Audit] *Independent audit of the pilot-medium and massive-configuration completions*, supplied AI-generated working audit, 15 September 2026. Source: `Shadow_Event_Law_Independent_Audit.md`. Section 6.6 is provenance for the conservative fixed-circuit cutoff bookkeeping. This is supporting working material, not external validation; the present text supplies the proof and its scope restrictions.

<a id="bib-mc:BohmI"></a>

[Bohm52a] D. Bohm, A suggested interpretation of the quantum theory in terms of “hidden” variables. I, *Physical Review* **85**, 166–179 (1952). [doi:10.1103/PhysRev.85.166](https://doi.org/10.1103/PhysRev.85.166).

<a id="bib-mc:BohmII"></a>

[Bohm52b] D. Bohm, A suggested interpretation of the quantum theory in terms of “hidden” variables. II, *Physical Review* **85**, 180–193 (1952). [doi:10.1103/PhysRev.85.180](https://doi.org/10.1103/PhysRev.85.180).

<a id="bib-mc:DGZeq"></a>

[DGZ92] D. Dürr, S. Goldstein and N. Zanghì, Quantum equilibrium and the origin of absolute uncertainty, *Journal of Statistical Physics* **67**, 843–907 (1992). [arXiv:quant-ph/0308039](https://arxiv.org/abs/quant-ph/0308039). In particular, the complete initial equilibrium measure and conditional-probability analysis; no claim of global relaxation is imported.

<a id="bib-mc:DGZoperators"></a>

[DGZ04] D. Dürr, S. Goldstein and N. Zanghì, Quantum equilibrium and the role of operators as observables in quantum theory, *Journal of Statistical Physics* **116**, 959–1055 (2004). [doi:10.1023/B:JOSS.0000037234.80916.d0](https://doi.org/10.1023/B:JOSS.0000037234.80916.d0); [arXiv:quant-ph/0308038](https://arxiv.org/abs/quant-ph/0308038).

<a id="bib-mc:TT"></a>

[TT05] S. Teufel and R. Tumulka, Simple proof for global existence of Bohmian trajectories, *Communications in Mathematical Physics* **258**, 349–365 (2005). [doi:10.1007/s00220-005-1302-0](https://doi.org/10.1007/s00220-005-1302-0); [arXiv:math-ph/0406030](https://arxiv.org/abs/math-ph/0406030). The current-integrability assumptions and the spinor theorem are checked in Chapter [28](/quantum-measurement/monograph/a-massive-configuration-constitution-and-its-event-law#mc:chapter-constitution).

<a id="bib-mc:Deotto"></a>

[DG98] E. Deotto and G. C. Ghirardi, Bohmian mechanics revisited, *Foundations of Physics* **28**, 1–30 (1998). [doi:10.1023/A:1018752202576](https://doi.org/10.1023/A:1018752202576); [arXiv:quant-ph/9704021](https://arxiv.org/abs/quant-ph/9704021).

<a id="bib-mc:Arrival"></a>

[GTZ24] S. Goldstein, R. Tumulka and N. Zanghì, Arrival times versus detection times, *Foundations of Physics* **54**, 63 (2024). [doi:10.1007/s10701-024-00798-y](https://doi.org/10.1007/s10701-024-00798-y); [arXiv:2405.04607](https://arxiv.org/abs/2405.04607).